Atkin-Lehner |
2+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14144h |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
3012558848 = 220 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ -2 2 2 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-577,-4833] |
[a1,a2,a3,a4,a6] |
j |
81182737/11492 |
j-invariant |
L |
1.9662794466114 |
L(r)(E,1)/r! |
Ω |
0.98313972330571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144u1 442d1 127296bs1 |
Quadratic twists by: -4 8 -3 |